{"id":2071,"date":"2025-04-02T07:07:00","date_gmt":"2025-04-01T23:07:00","guid":{"rendered":"https:\/\/blog.laoyulaoyu.top\/?p=2071"},"modified":"2025-03-15T16:33:51","modified_gmt":"2025-03-15T08:33:51","slug":"hmm%e6%a8%a1%e5%9e%8b%e5%ae%9e%e6%88%98%ef%bc%9a%e7%94%a8%e9%87%8f%e5%8c%96%e4%ba%a4%e6%98%93%e5%88%a9%e5%99%a8%e9%a2%84%e6%b5%8b%e8%82%a1%e4%bb%b7%e8%b5%b0%e5%8a%bf","status":"publish","type":"post","link":"https:\/\/laoyulaoyu.com\/index.php\/2025\/04\/02\/hmm%e6%a8%a1%e5%9e%8b%e5%ae%9e%e6%88%98%ef%bc%9a%e7%94%a8%e9%87%8f%e5%8c%96%e4%ba%a4%e6%98%93%e5%88%a9%e5%99%a8%e9%a2%84%e6%b5%8b%e8%82%a1%e4%bb%b7%e8%b5%b0%e5%8a%bf\/","title":{"rendered":"HMM\u6a21\u578b\u5b9e\u6218\uff1a\u7528\u91cf\u5316\u4ea4\u6613\u5229\u5668\u9884\u6d4b\u80a1\u4ef7\u8d70\u52bf"},"content":{"rendered":"\n<p>\u4f5c\u8005\uff1a<a href=\"https:\/\/www.laoyulaoyu.com\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u8001\u4f59\u635e\u9c7c<\/a><\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-cyan-bluish-gray-color\">\u539f\u521b\u4e0d\u6613\uff0c\u8f6c\u8f7d\u8bf7\u6807\u660e\u51fa\u5904\u53ca\u539f\u4f5c\u8005\u3002<\/mark><\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/www.laoyulaoyu.com\/wp-content\/uploads\/2025\/03\/1_Dkt-G5EGlmvx6exM41B79g.png\" alt=\"\" class=\"wp-image-4528\"\/><\/figure>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<pre class=\"wp-block-verse\"><strong>\u5199\u5728\u524d\u9762\u7684\u8bdd\uff1a<\/strong>\u6211\u4eec\u6765\u804a\u804a<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">\u5982\u4f55\u7528\u9690\u85cf\u9a6c\u5c14\u53ef\u592b\u6a21\u578b\uff08HMM\uff09\u5206\u6790\u5e02\u573a\u72b6\u6001\uff0c\u5e76\u7ed3\u5408A\u80a1\u80a1\u7968\u7684\u5b9e\u9645\u6570\u636e\u6765\u8fdb\u884c\u9884\u6d4b<\/mark>\u3002HMM\u53ef\u4ee5\u901a\u8fc7\u4ef7\u683c\u53d8\u5316\u7b49\u6570\u636e\u8bc6\u522b\u5e02\u573a\u7684\u9690\u85cf\u72b6\u6001\uff0c\u6bd4\u5982\u725b\u5e02\u3001\u718a\u5e02\u6216\u9707\u8361\u5e02\u3002\u672c\u6587\u901a\u4fd7\u6613\u61c2\uff0c\u9644\u5b8c\u6574\u4ee3\u7801\u793a\u4f8b\uff0c\u5e0c\u671b\u80fd\u5bf9\u60a8\u6709\u6240\u542f\u53d1\uff01<\/pre>\n<\/blockquote>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>\u4e00\u3001\u4ec0\u4e48\u662f\u9690\u9a6c\u5c14\u53ef\u592b\u6a21\u578b\uff1f<\/strong><\/h3>\n\n\n\n<p><strong>\u9690\u9a6c\u5c14\u53ef\u592b\u6a21\u578b\uff08Hidden Markov Model\uff09<\/strong>\u662f\u4e00\u79cd\u7edf\u8ba1\u6a21\u578b\uff0c\u7528\u6765\u63cf\u8ff0\u4e00\u4e2a\u7cfb\u7edf\u5185\u90e8\u7684\u72b6\u6001\u53d8\u5316\u3002\u8fd9\u4e9b\u72b6\u6001\u662f\u201c\u770b\u4e0d\u89c1\u201d\u7684\uff0c\u4f46\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u4e00\u4e9b\u5916\u90e8\u7684\u201c\u7ebf\u7d22\u201d\u53bb\u63a8\u6d4b\u5b83\u4eec\u3002<\/p>\n\n\n\n<p>\u4e3e\u4e2a\u4f8b\u5b50\uff0c\u5047\u8bbe\u4f60\u60f3\u77e5\u9053\u5916\u9762\u7684\u5929\u6c14\u60c5\u51b5\uff0c\u4f46\u4f60\u53ea\u80fd\u770b\u5230\u8def\u4eba\u6709\u6ca1\u6709\u5e26\u4f1e\u3002\u5982\u679c\u5f88\u591a\u4eba\u5e26\u4f1e\uff0c\u90a3\u53ef\u80fd\u662f\u4e0b\u96e8\u5929\uff1b\u5982\u679c\u6ca1\u4eba\u5e26\u4f1e\uff0c\u90a3\u53ef\u80fd\u662f\u6674\u5929\u3002HMM\u5c31\u662f\u901a\u8fc7\u8fd9\u6837\u7684\u903b\u8f91\uff0c\u628a\u770b\u4e0d\u89c1\u7684\u4e1c\u897f\u201c\u731c\u201d\u51fa\u6765\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/www.laoyulaoyu.com\/wp-content\/uploads\/2025\/03\/image-49.png\" alt=\"\" class=\"wp-image-4529\"\/><\/figure>\n\n\n\n<p>\u800c\u5728\u80a1\u4ef7\u9884\u6d4b\u65b9\u9762\uff0c\u9690\u9a6c\u5c14\u53ef\u592b\u6a21\u578b\u5141\u8bb8\u6211\u4eec\u5bf9\u5f71\u54cd\u53ef\u89c2\u6d4b\u80a1\u4ef7\u8d70\u52bf\u7684\u6f5c\u5728\u5e02\u573a\u6761\u4ef6\u8fdb\u884c\u5efa\u6a21\u3002\u6bcf\u4e2a\u9690\u85cf\u72b6\u6001\u4ee3\u8868\u4e00\u79cd\u5e02\u573a\u673a\u5236\uff08\u5982\u725b\u5e02\u3001\u718a\u5e02\u6216\u4e2d\u6027\uff09\uff0c\u800c\u53ef\u89c2\u6d4b\u53d8\u91cf\u5219\u6765\u81ea\u5177\u4f53\u80a1\u7968\u7684\u80a1\u4ef7\u8d70\u52bf\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/www.laoyulaoyu.com\/wp-content\/uploads\/2024\/11\/image-52.png\" alt=\"\" class=\"wp-image-2907\"\/><\/figure>\n<\/div>\n\n\n<p id=\"0c99\">\u8be5\u6a21\u578b\u5728\u80a1\u4ef7\u9884\u6d4b\u9886\u57df\u7531\u4e09\u4e2a\u4e3b\u8981\u90e8\u5206\u7ec4\u6210\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u9690\u85cf\u72b6\u6001 <\/strong>\uff1a\u8fd9\u662f\u7cfb\u7edf\u5185\u90e8\u7684\u5b9e\u9645\u72b6\u6001\uff0c\u6bd4\u5982\u5e02\u573a\u7684\u725b\u5e02\u3001\u718a\u5e02\u6216\u9707\u8361\u5e02\u3002<\/li>\n\n\n\n<li><strong>\u8f6c\u6362\u6982\u7387 <\/strong>\uff1a\u4ece\u4e00\u4e2a\u72b6\u6001\u53d8\u6210\u53e6\u4e00\u4e2a\u72b6\u6001\u7684\u53ef\u80fd\u6027\u3002\u6bd4\u5982\u4ece\u725b\u5e02\u53d8\u6210\u718a\u5e02\u7684\u6982\u7387\u662f\u591a\u5c11\u3002<\/li>\n\n\n\n<li><strong>\u8f93\u51fa\u6982\u7387 <\/strong>\uff1a\u6bcf\u4e2a\u72b6\u6001\u4e0b\uff0c\u4ea7\u751f\u7279\u5b9a\u89c2\u6d4b\u6570\u636e\u7684\u53ef\u80fd\u6027\u3002\u6bd4\u5982\u725b\u5e02\u72b6\u6001\u4e0b\uff0c\u51fa\u73b0\u5927\u6da8\u7684\u6982\u7387\u6709\u591a\u5927\u3002<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>\u4e8c\u3001\u5982\u4f55\u5728\u4ea4\u6613\u4e2d\u600e\u4e48\u7528HMM\uff1f<\/strong><\/h2>\n\n\n\n<p>\u5728\u4ea4\u6613\u4e2d\uff0cHMM\u53ef\u4ee5\u5e2e\u6211\u4eec\u8bc6\u522b\u5e02\u573a\u7684\u201c\u9690\u85cf\u72b6\u6001\u201d\u3002\u6bd4\u5982\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u5f53\u524d\u5e02\u573a\u662f\u5728\u725b\u5e02\u3001\u718a\u5e02\u8fd8\u662f\u9707\u8361\u5e02\uff1f<\/li>\n\n\n\n<li>\u63a5\u4e0b\u6765\u5e02\u573a\u4f1a\u4ece\u725b\u5e02\u53d8\u6210\u718a\u5e02\uff0c\u8fd8\u662f\u7ee7\u7eed\u4fdd\u6301\u725b\u5e02\uff1f<\/li>\n<\/ul>\n\n\n\n<p>\u901a\u8fc7\u8fd9\u4e9b\u4fe1\u606f\uff0c\u6211\u4eec\u53ef\u4ee5\u63d0\u524d\u8c03\u6574\u81ea\u5df1\u7684\u4ea4\u6613\u7b56\u7565\u3002\u6bd4\u5982\uff0c\u5728\u725b\u5e02\u65f6\u53ef\u4ee5\u591a\u4e70\u80a1\u7968\uff0c\u5728\u718a\u5e02\u65f6\u53ef\u4ee5\u9009\u62e9\u7a7a\u4ed3\u6216\u8005\u505a\u7a7a\u3002<\/p>\n\n\n\n<p>\u63a5\u4e0b\u6765\uff0c\u6211\u5c06\u4ee5\u5b81\u5fb7\u65f6\u4ee3\u80a1\u7968\u4e3a\u4f8b\uff0c\u7528python\u6765\u5c55\u793a\u5982\u4f55\u7528HMM\u6a21\u578b\u5206\u6790\u5e02\u573a\u72b6\u6001\u5e76\u9884\u6d4b\u672a\u6765\u7684\u80a1\u4ef7\u8d70\u52bf\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>2.1 \u6570\u636e\u51c6\u5907<\/strong><\/h3>\n\n\n\n<p>\u6211\u4eec\u7528<code>tushare<\/code>\u5e93\u83b7\u53d6\u5b81\u5fb7\u65f6\u4ee3\u7684\u5386\u53f2\u6570\u636e\uff0c\u5e76\u8ba1\u7b97\u6bcf\u65e5\u7684\u4ef7\u683c\u53d8\u5316\u3002\u8fd9\u6837\u505a\u7684\u597d\u5904\u662f\uff0c\u6211\u4eec\u53ef\u4ee5\u5ffd\u7565\u7edd\u5bf9\u4ef7\u683c\u6c34\u5e73\uff0c\u4e13\u6ce8\u4e8e\u4ef7\u683c\u7684\u6ce2\u52a8\u6027\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>import numpy as np\nimport pandas as pd\nimport matplotlib.pyplot as plt\nfrom hmmlearn import hmm\nimport tushare as ts\n\n# \u8bbe\u7f6etushare\u7684API key\uff08\u9700\u8981\u5148\u6ce8\u518ctushare\u8d26\u53f7\u5e76\u83b7\u53d6API key\uff09\nts.set_token('\u4f60\u7684tushare_api_key')\npro = ts.pro_api()\n\n# \u83b7\u53d6\u5b81\u5fb7\u65f6\u4ee3\u7684\u5386\u53f2\u6570\u636e\ndf = pro.daily(ts_code='300750.SZ', start_date='20240315', end_date='20250314')\ndf&#91;'trade_date'] = pd.to_datetime(df&#91;'trade_date'])\ndf = df.sort_values(by='trade_date')  # \u6309\u65e5\u671f\u6392\u5e8f\n\n# \u8ba1\u7b97\u6bcf\u65e5\u4ef7\u683c\u53d8\u5316\ndf&#91;'price_change'] = df&#91;'close'].diff().fillna(0)\n\n# \u51c6\u5907\u6570\u636e\nX = df&#91;&#91;'price_change']].values<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>2.2 \u8bad\u7ec3\u6a21\u578b<\/strong><\/h3>\n\n\n\n<p>\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u7528<code>hmmlearn<\/code>\u5e93\u6784\u5efa\u4e00\u4e2a\u9ad8\u65af\u9690\u9a6c\u5c14\u53ef\u592b\u6a21\u578b\uff0c\u5e76\u8bbe\u7f6e\u9690\u85cf\u72b6\u6001\u7684\u6570\u91cf\u4e3a3\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code># \u6784\u5efaHMM\u6a21\u578b\nmodel = hmm.GaussianHMM(n_components=3, covariance_type=\"diag\", n_iter=1000)\nmodel.fit(X)\n\n# \u9884\u6d4b\u9690\u85cf\u72b6\u6001\nhidden_states = model.predict(X)<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>2.3 \u53ef\u89c6\u5316\u7ed3\u679c<\/strong><\/h3>\n\n\n\n<p>\u6700\u540e\uff0c\u6211\u4eec\u7528\u56fe\u8868\u5c55\u793a\u5b81\u5fb7\u65f6\u4ee3\u80a1\u4ef7\u548c\u9690\u85cf\u72b6\u6001\u7684\u5173\u7cfb\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>plt.figure(figsize=(15, 6))\nplt.plot(df&#91;'trade_date'], df&#91;'close'], label='300750.SZ Closing price')\nfor i in range(3):\n    mask = (hidden_states == i)\n    plt.scatter(df&#91;'trade_date']&#91;mask], df&#91;'close']&#91;mask], label=f'Status {i}', s=10)\n\nplt.legend()\nplt.title('300750.SZ Closing price vs HMM Status')\nplt.grid(True)\nplt.tight_layout()\nplt.show()<\/code><\/pre>\n\n\n\n<p>\u8f93\u51fa\u7ed3\u679c\u5982\u4e0b\u56fe\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"https:\/\/www.laoyulaoyu.com\/wp-content\/uploads\/2025\/03\/image-50-1024x406.png\" alt=\"\" class=\"wp-image-4530\"\/><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>\u4e09\u3001\u9884\u6d4b\u80a1\u4ef7\u8d70\u52bf<\/strong><\/h2>\n\n\n\n<p>\u4e3a\u4e86\u8ba9\u6a21\u578b\u66f4\u6709\u7528\uff0c\u6211\u4eec\u8fd8\u53ef\u4ee5\u7528\u5b83\u6765\u9884\u6d4b\u672a\u6765\u7684\u80a1\u4ef7\u8d70\u52bf\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>3.1 \u9884\u6d4b\u4ee3\u7801\u5b9e\u73b0<\/strong><\/h3>\n\n\n\n<p>\u4e0b\u9762\u8fd9\u6bb5\u4ee3\u7801\u901a\u8fc7\u6807\u51c6\u5316\u4ef7\u683c\u53d8\u5316\u6570\u636e\u3001\u8bad\u7ec3\u9ad8\u65af\u9690\u9a6c\u5c14\u53ef\u592b\u6a21\u578b\uff08HMM\uff09\u3001\u9884\u6d4b\u9690\u85cf\u72b6\u6001\u53ca\u751f\u6210\u672a\u6765\u4ef7\u683c\u8d70\u52bf\uff0c\u5e76\u7528\u56fe\u8868\u5c55\u793a\u5b9e\u9645\u4e0e\u9884\u6d4b\u4ef7\u683c\u7684\u5bf9\u6bd4\uff0c\u8bc4\u4f30\u4e0d\u540c\u9690\u85cf\u72b6\u6001\u6570\u91cf\u5bf9\u5b81\u5fb7\u65f6\u4ee3\u80a1\u4ef7\u9884\u6d4b\u7684\u6548\u679c\u3002\u4ee5\u4e0b\u662f\u4ee3\u7801\u793a\u4f8b\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code># \u6807\u51c6\u5316\u6570\u636e\nscaler = StandardScaler()\nX_scaled = scaler.fit_transform(df&#91;&#91;'price_change']])\n\n# \u5b9a\u4e49\u51fd\u6570\u8bad\u7ec3\u6a21\u578b\u5e76\u9884\u6d4b\ndef run_ghmm(X, n_hidden_states):\n    model = hmm.GaussianHMM(n_components=n_hidden_states, covariance_type=\"diag\", n_iter=100)\n#  \u7bc7\u5e45\u5173\u7cfb\uff0c\u975e\u5b8c\u6574\u4ee3\u7801\u3002\u3002\u3002\n\n# \u53ef\u89c6\u5316\u9884\u6d4b\u7ed3\u679c\ndef plot_predictions(n_hidden_states, predicted_prices):\n    plt.figure(figsize=(12, 6))\n#  \u7bc7\u5e45\u5173\u7cfb\uff0c\u975e\u5b8c\u6574\u4ee3\u7801\u3002\u3002\u3002\n\n# \u6d4b\u8bd5\u4e0d\u540c\u9690\u85cf\u72b6\u6001\u6570\u91cf\nfor n_states in &#91;3, 4, 5, 6]:\n    hidden_states, predicted_prices, model = run_ghmm(X_scaled, n_states)\n    plot_predictions(n_states, predicted_prices)<\/code><\/pre>\n\n\n\n<p><strong>\u9690\u85cf\u72b6\u6001 3 \u7684\u7ed3\u679c\u5982\u4e0b\u56fe\uff1a<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"https:\/\/www.laoyulaoyu.com\/wp-content\/uploads\/2025\/03\/image-52-1024x508.png\" alt=\"\" class=\"wp-image-4532\"\/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u4f18\u70b9 \uff1a\u5728\u67d0\u4e9b\u65f6\u95f4\u6bb5\u5185\uff08\u59822024\u5e747\u6708\u52309\u6708\uff09\uff0c\u9884\u6d4b\u4ef7\u683c\u4e0e\u5b9e\u9645\u4ef7\u683c\u7684\u8d70\u52bf\u8f83\u4e3a\u63a5\u8fd1\uff0c\u80fd\u591f\u8f83\u597d\u5730\u6355\u6349\u5230\u5e02\u573a\u7684\u6ce2\u52a8\u8d8b\u52bf\u3002<\/li>\n\n\n\n<li>\u7f3a\u70b9 \uff1a\u5728\u5176\u4ed6\u65f6\u95f4\u6bb5\uff08\u59822024\u5e745\u6708\u30012024\u5e7411\u6708\u4e4b\u540e\uff09\uff0c\u9884\u6d4b\u4ef7\u683c\u4e0e\u5b9e\u9645\u4ef7\u683c\u5b58\u5728\u8f83\u5927\u504f\u5dee\uff0c\u7279\u522b\u662f\u5728\u4ef7\u683c\u5267\u70c8\u6ce2\u52a8\u65f6\uff0c\u6a21\u578b\u7684\u8868\u73b0\u4e0d\u591f\u7a33\u5b9a\u3002<\/li>\n<\/ul>\n\n\n\n<p><strong>\u9690\u85cf\u72b6\u6001 4 \u7684\u7ed3\u679c\u5982\u4e0b\u56fe\uff1a<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"https:\/\/www.laoyulaoyu.com\/wp-content\/uploads\/2025\/03\/image-51-1024x508.png\" alt=\"\" class=\"wp-image-4531\"\/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u4f18\u70b9 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href=\"https:\/\/colab.research.google.com\/drive\/1CZI5qMgIkKMj1uOo4KF3v5IXOzQr_7aA?usp=sharing\">https:\/\/colab.research.google.com\/drive\/1CZI5qMgIkKMj1uOo4KF3v5IXOzQr_7aA?usp=sharing<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>\u56db\u3001\u89c2\u70b9\u603b\u7ed3<\/strong><\/h2>\n\n\n\n<p>\u603b\u7684\u6765\u8bf4\uff0cHMM\u662f\u4e00\u79cd\u975e\u5e38\u6709\u7528\u7684\u5de5\u5177\uff0c\u53ef\u4ee5\u5e2e\u52a9\u6211\u4eec\u8bc6\u522b\u5e02\u573a\u4e2d\u7684\u9690\u85cf\u72b6\u6001\uff0c\u5e76\u9884\u6d4b\u672a\u6765\u7684\u80a1\u4ef7\u8d70\u52bf\u3002\u4e0d\u8fc7\uff0c\u9762\u5bf9\u50cf\u5b81\u5fb7\u65f6\u4ee3\u8fd9\u6837\u6ce2\u52a8\u6027\u8f83\u5927\u7684\u80a1\u7968\uff0c\u4efb\u4f55\u6a21\u578b\u90fd\u53ef\u80fd\u6709\u5c40\u9650\u6027\u3002\u56e0\u6b64\uff0c\u5728\u4f7f\u7528\u8fd9\u4e9b\u5206\u6790\u7ed3\u679c\u65f6\uff0c\u6211\u4eec\u9700\u8981\u4fdd\u6301\u8c28\u614e\uff0c\u5e76\u7ed3\u5408\u5176\u4ed6\u4fe1\u606f\u505a\u51fa\u51b3\u7b56\u3002<\/p>\n\n\n\n<ul 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class=\"screen-reader-text\">HMM\u6a21\u578b\u5b9e\u6218\uff1a\u7528\u91cf\u5316\u4ea4\u6613\u5229\u5668\u9884\u6d4b\u80a1\u4ef7\u8d70\u52bf<\/span><\/a><\/div>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[4,5,6],"class_list":{"0":"post-2071","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"hentry","6":"category-aiinvest","7":"tag-ai","9":"tag-6","10":"entry"},"_links":{"self":[{"href":"https:\/\/laoyulaoyu.com\/index.php\/wp-json\/wp\/v2\/posts\/2071","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/laoyulaoyu.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/laoyulaoyu.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/laoyulaoyu.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/laoyulaoyu.com\/index.php\/wp-json\/wp\/v2\/comments?post=2071"}],"version-history":[{"count":1,"href":"https:\/\/laoyulaoyu.com\/index.php\/wp-json\/wp\/v2\/posts\/2071\/revisions"}],"predecessor-version":[{"id":2072,"href":"https:\/\/laoyulaoyu.com\/index.php\/wp-json\/wp\/v2\/posts\/2071\/revisions\/2072"}],"wp:attachment":[{"href":"https:\/\/laoyulaoyu.com\/index.php\/wp-json\/wp\/v2\/media?parent=2071"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/laoyulaoyu.com\/index.php\/wp-json\/wp\/v2\/categories?post=2071"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/laoyulaoyu.com\/index.php\/wp-json\/wp\/v2\/tags?post=2071"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}